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Finding the Fourth Proportional to 1,712.64, 2,361.78 and 1,380

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Solution

The fourth proportional to 1,712.64, 2,361.78 and 1,380 is: 1,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.64 : 2,361.78 = 1,380 : x
  2. Step 2: Convert to fraction form
    1,712.64/2,361.78 = 1,380/x
  3. Step 3: Cross multiply
    1,712.64x = 2,361.78 × 1,380
  4. Step 4: Simplify right side
    1,712.64x = 3,259,256.40
  5. Step 5: Solve for x
    x = 3,259,256.40/1,712.64
  6. Step 6: Final answer
    x = 1,903.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.